256642625 has 64 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 179660800.

The previous prime is 256642601. The next prime is 256642627. The reversal of 256642625 is 526246652.

It is not a de Polignac number, because 256642625 - 2¹⁰ = 256641601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256642627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2883581 + ... + 2883669.

It is an arithmetic number, because the mean of its divisors is an integer number (5686200).

Almost surely, 2^256642625 is an apocalyptic number.

256642625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256642625 is a deficient number, since it is larger than the sum of its proper divisors (107274175).

256642625 is a wasteful number, since it uses less digits than its factorization.

256642625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 256642625 is about 16020.0694442939. The cubic root of 256642625 is about 635.4912807958.

The spelling of 256642625 in words is "two hundred fifty-six million, six hundred forty-two thousand, six hundred twenty-five".